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Simplifying 2(x + -3) + -7x = 3x + 13 Reorder the terms: 2(-3 + x) + -7x = 3x + 13 (-3 * 2 + x * 2) + -7x = 3x + 13 (-6 + 2x) + -7x = 3x + 13 Combine like terms: 2x + -7x = -5x -6 + -5x = 3x + 13 Reorder the terms: -6 + -5x = 13 + 3x Solving -6 + -5x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + -5x + -3x = 13 + 3x + -3x Combine like terms: -5x + -3x = -8x -6 + -8x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -8x = 13 + 0 -6 + -8x = 13 Add '6' to each side of the equation. -6 + 6 + -8x = 13 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 13 + 6 -8x = 13 + 6 Combine like terms: 13 + 6 = 19 -8x = 19 Divide each side by '-8'. x = -2.375 Simplifying x = -2.375
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